Skip to main content
SpringerLink
Log in

Quantum Phenomena in a Classical Model

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

This work is part of a program which has the aim to investigate which phenomena can be explained by nonlinear effects in classical mechanics and which ones require the new axioms of quantum mechanics. In this paper, we construct a nonlinear field equation which admits soliton solutions. These solitons exibit a dynamics which is similar to that of quantum particles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. J. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987).

    Google Scholar 

  2. V. Benci and D. Fortunato,'Solitons and Particles,' Proc. Int. Conf. on Nonlinear Diff. Equat. and Appl., Tata Inst. Pund. Res., Bangalore (to appear).

  3. V. Benci and D. Fortunato,'Solitons and Relativistic Dynamics,' preprint.

  4. V. Benci and D. Fortunato,'Existence of String-Like Solitons' (to appear).

  5. V. Benci, D. Fortunato, and L. Pisani,'Soliton-like solutions of a Lorentz invariant equation in dimension 3,' Rev. Math. Phys. 10, 315–344 (1998).

    Google Scholar 

  6. V. Benci, D. Fortunato, and L. Pisani,'Remarks on tolological solitons,' Topol. Meth. Nonlinear Anal. 7, 349–367 (1996).

    Google Scholar 

  7. V. Benci, D. Fortunato, A. Masiello, and L. Pisani,'Solitons and the electromagnetic field,' Math. Z. (to appear).

  8. D. Bohm and B. Hiley, The Undivided Universe (Routledge, London, 1994).

    Google Scholar 

  9. L. De Broglie, Un Tentative d'interpretation Causule et non Liné aire de la Mécanique Ondulatoire: La Théorie de la Double Soution (Gauthier-Villars, Paris, 1957); English translation: Non-linear Wave Mechanics, a Causal Interpretation (Elsevier, Amsterdam, 1960).

    Google Scholar 

  10. L. De Broglie, The Current Interpretation of Wave Mechanics: A Critical Study (Elsevier, Amsterdam, 1964).

    Google Scholar 

  11. R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations (Academic, New York, 1982).

    Google Scholar 

  12. A. C. Elizur and L. Vaidman,'Quantum-mechanical interaction-free measurement,' Found. Phys. 47, 987–997 (1993).

    Google Scholar 

  13. L. Faddeev and A. J. Niemi,'Stable knot-like structures in classical field theory,' Nature 387, 58–61 (1997).

    Google Scholar 

  14. C Rebbi and G. Soliani, Solitons and Particles (World Scientific, Singapore, 1984).

    Google Scholar 

Download references

Authors
  1. Vieri Benci
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benci, V. Quantum Phenomena in a Classical Model. Foundations of Physics 29, 1–28 (1999). https://doi.org/10.1023/A:1018899202364

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018899202364

Keywords

Search

Navigation